Definition:Improper Integral on Open Above Interval/Also denoted as

Improper Integral on Open Above Interval: Also denoted as

When presenting an improper integral on a half open interval $\hointr a b$, it is common to abuse notation and write:

$\ds \int_a^b \map f t \rd t$

which is understood to mean exactly the same thing as $\ds \int_a^{\mathop \to b} \map f t \rd t$.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): infinite integral (improper integral)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): infinite integral (improper integral)